8479821811200 has 480 divisors, whose sum is σ = 28689696706176. Its totient is φ = 2206719836160.

The previous prime is 8479821811199. The next prime is 8479821811259. The reversal of 8479821811200 is 21181289748.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3148837054 + ... + 3148839746.

Almost surely, 2^{8479821811200} is an apocalyptic number.

8479821811200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8479821811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14344848353088).

8479821811200 is an abundant number, since it is smaller than the sum of its proper divisors (20209874894976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8479821811200 is a wasteful number, since it uses less digits than its factorization.

8479821811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 51.

The spelling of 8479821811200 in words is "eight trillion, four hundred seventy-nine billion, eight hundred twenty-one million, eight hundred eleven thousand, two hundred".